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Finding the Third Proportional to 154,633.50 and 226,413

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Solution

The third proportional to 154,633.50 and 226,413 is: 331,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,633.50 : 226,413 = 226,413 : x
  2. Step 2: Convert to fraction form
    154,633.50/226,413 = 226,413/x
  3. Step 3: Cross multiply
    154,633.50x = 226,413 × 226,413
  4. Step 4: Simplify right side
    154,633.50x = 51,262,846,569
  5. Step 5: Solve for x
    x = 51,262,846,569/154,633.50
  6. Step 6: Final answer
    x = 331,511.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.